Chemistry 9th Edition

Published by Cengage Learning

Chapter 1 - Chemical Foundations - Exercises: 43

Answer

a) Kentucky Derby race: Length in: $\Longrightarrow$ Rods = 400 $\Longrightarrow$ Furlong = 10 $\Longrightarrow$ Meters = 2011.68 $\Longrightarrow$ Kilometers = 2.01168 b) Marathon race: Length in: $\Longrightarrow$ Rods = 10,437.5 $\Longrightarrow$ Furlong = 260.9375 $\Longrightarrow$ Meter = 52,492.275 $\Longrightarrow$ Kilometer = 52.492275

Work Step by Step

a) Kentucky Derby race: Length = 1.25 miles 1 mile = 8 furlongs Thus, 1.25 miles = 10 furlongs Also, 1 furlong = 40 rods. Thus, 10 furlongs = 400 rods 1 mile = 1610 meter Thus, 1.25 miles = 2011.68 meter 2011.68 m = 2.01168 km. b) Marathon race: Length = 26 miles, 385 yards. 1 mile = 8 furlongs Thus, 26 miles = 208 furlongs also, 5.5 yd = 1 rod Thus, 385 yd = 2117.5 rods 40 rod = 1 furlong 2117.5 rods = 52.9375 furlong. Total = 208 + 52.9375 = 260.9375 furlong. In rods: 1 furlong = 40 rods Thus, 260.9375 furlongs = 10437.5 rods From (a), where 400 rods = 2011.68 meter, 1 rod = 5.0292 meter. Thus 10437.5 rods = 52492.275 meter Also, 52492.275 m = 52.492275 km.

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